Answer:
a : c = 7 : 10
Step-by-step explanation:
The two ratios (a : b and b : c) both have b in common, so to work out what a : c is, we can use b to 'bridge' the two ratios together.
However, in a : b, b is 4. But in b : c, b is 2. We need to make sure b is the same in both ratios before we can combine the ratios together. The easiest way to do this is to multiply b : c by 2 to get b : c = 4 : 10. Now b is 4 in both ratios.
So now, we can combine the two ratios together to get a : b : c = 7 : 4 : 10. Since we only want a : c though, we can just drop the b and get a : c = 7 : 10. No simplifying is necessary since the ratio is already in its simplest form.
Hope that helps! :)
Answer:
1. 169π ft²
2. 144π in²
3) 25π yd²
Step-by-step explanation:
1) π * 13²
π * 169
units = ft²
169π ft²
2) π * 12²
π * 144
units = in²
144π in²
3)π * 5²
π * 25
units = yd²
25π yd²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
The route across the park is 40 meter shorter than the route around its edges.
Step-by-step explanation:
We have to calculate the distance for both routes
As the route around the edges is straight, we have to find the sum of length of both edges
Let
be the distance of route around edges

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.
We can use Pythagoras theorem to find the length of the diagonal
So,

In the given scenario
P = 60
B = 80
Now

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

Hence,
The route across the park is 40 meter shorter than the route around its edges.